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Simplifying 5d + 10 = 8d + -14 Reorder the terms: 10 + 5d = 8d + -14 Reorder the terms: 10 + 5d = -14 + 8d Solving 10 + 5d = -14 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 10 + 5d + -8d = -14 + 8d + -8d Combine like terms: 5d + -8d = -3d 10 + -3d = -14 + 8d + -8d Combine like terms: 8d + -8d = 0 10 + -3d = -14 + 0 10 + -3d = -14 Add '-10' to each side of the equation. 10 + -10 + -3d = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -3d = -14 + -10 -3d = -14 + -10 Combine like terms: -14 + -10 = -24 -3d = -24 Divide each side by '-3'. d = 8 Simplifying d = 8
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